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Finding the Fourth Proportional to 623.10, 859.88 and 343.37

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Solution

The fourth proportional to 623.10, 859.88 and 343.37 is: 473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.10 : 859.88 = 343.37 : x
  2. Step 2: Convert to fraction form
    623.10/859.88 = 343.37/x
  3. Step 3: Cross multiply
    623.10x = 859.88 × 343.37
  4. Step 4: Simplify right side
    623.10x = 295,250.98
  5. Step 5: Solve for x
    x = 295,250.98/623.10
  6. Step 6: Final answer
    x = 473.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.